SOLUTION: pedro and ivan raced each other in a 24-mile bike race. after 20 minutes, pedro has traveled 5 miles. ivan had spent the 20 minutes traveling at a rate of 16 mph Pedro and Ivan co

Question 996666: pedro and ivan raced each other in a 24-mile bike race. after 20 minutes, pedro has traveled 5 miles. ivan had spent the 20 minutes traveling at a rate of 16 mph Pedro and Ivan continued bicycling at their original rates. After one hour, Pedro realized he needed to increase his speed to catch up to Ivan. Pedro assumed Ivan would continue to travel at a rate of 16 miles per hour. At what constant speed from now to the end of the race does Pedro need to travel to tie Ivan at the finish line?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
pedro and ivan raced each other in a 24-mile bike race.
after 20 minutes, pedro has traveled 5 miles.
From this we can find P's speed (20 min is 1/3 of an hr)
= 15 mph
:
ivan had spent the 20 minutes traveling at a rate of 16 mph
Pedro and Ivan continued bicycling at their original rates.
:
After one hour, Pedro realized he needed to increase his speed to catch up to Ivan.
After 1hr, P has traveled 15 mi, 9 mi to the finish line
After 1hr, I has traveled 16 mi, 8 mi to the finish line
:
Pedro assumed Ivan would continue to travel at a rate of 16 miles per hour.
At what constant speed from now to the end of the race does Pedro need to travel to tie Ivan at the finish line?
Find how long it will take I to run the last 8 mi. 8/16 = .5 hrs
Find how fast (s), P will have to run to finish in .5 hrs
.5s = 9
s = 9/.5
s = 18 mph to finish the same time as Ivan
:

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